Questions in Oscillations

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If a spring has time period $T$, and is cut into $n$ equal parts, then the time period of each part will be
One-forth length of a spring of force constant $K$ is cut away. The force constant of the remaining spring will be
A mass m is suspended separately by two different springs of spring constant $K_1$ and $K_2$ gives the time-period ${{t}_{1}}$ and ${{t}_{2}}$ respectively. If same mass m is connected by both springs as shown in figure then time-period t is given by the relation Question Image
Two springs of force constants $K$ and $2K$ are connected to a mass as shown below. The frequency of oscillation of the mass is Question Image
Two springs of constant ${{k}_{1}}$and ${{k}_{2}}$are joined in series. The effective spring constant of the combination is given by
A particle at the end of a spring executes simple harmonic motion with a period ${{t}_{1}}$, while the corresponding period for another spring is ${{t}_{2}}$. If the period of oscillation with the two springs in series is T, then
Infinite springs with force constant k, 2k, 4k and 8k.... respectively are connected in series. The effective force constant of the spring will be
To make the frequency double of a spring oscillator, we have to
The springs shown are identical. When $A=4kg$, the elongation of spring is 1 cm. If $B=6kg$, the elongation produced by it is Question Image
When a body of mass 1.0 kg is suspended from a certain light spring hanging vertically, its length increases by 5 cm. By suspending 2.0 kg block to the spring and if the block is pulled through 10 cm and released the maximum velocity in it in m/s is : (Acceleration due to gravity $=10m/{{s}^{2}})$

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